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Finding the Third Proportional to 540,879 and 1,156,800

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Solution

The third proportional to 540,879 and 1,156,800 is: 2,474,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,879 : 1,156,800 = 1,156,800 : x
  2. Step 2: Convert to fraction form
    540,879/1,156,800 = 1,156,800/x
  3. Step 3: Cross multiply
    540,879x = 1,156,800 × 1,156,800
  4. Step 4: Simplify right side
    540,879x = 1,338,186,240,000
  5. Step 5: Solve for x
    x = 1,338,186,240,000/540,879
  6. Step 6: Final answer
    x = 2,474,095.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.